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Mathematics 11 Online
OpenStudy (anonymous):

help again

OpenStudy (anonymous):

i need helping matching

OpenStudy (rational):

\(\large i^2 = -1\)

OpenStudy (rational):

use that to simplify the given expressions

OpenStudy (anonymous):

i22=1

OpenStudy (rational):

\[\huge i^{22} = \left( i^2\right)^{11} = (-1)^{11} = ?\]

OpenStudy (anonymous):

-1

OpenStudy (anonymous):

i7?

OpenStudy (rational):

yes!

OpenStudy (rational):

you just need to use \(\large i^2 = -1\)

OpenStudy (rational):

\[\large i^7 = i^{4+3} = i^4.i^3 = (i^2)^2i^3 = (-1)^2 i^3 = i^3\]

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

how bout 4

OpenStudy (rational):

just distribute/FOIL and in the end use i^2 = -1

OpenStudy (anonymous):

i mean 3

OpenStudy (rational):

combine like terms

OpenStudy (anonymous):

1+10 =D got it

OpenStudy (rational):

Correct !

OpenStudy (anonymous):

thank u sooooooo much mind helping me again

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